5) If the origin O and the points A(1, 2, 3), B(2, 3, 4) and, P(x,y,z) are coplanar then
14) If the four points A(2-x, 2, 2), B(2, 2-y, 2), C(2, 2, 2-z) and D(1, 1, 1) are co-planar, then
16) Points A(4, 5, 1), B(0, -1, 1), C(3, 9, 4) and D(-4, 4, 4) are
23) If the points (-1, -1, 2) , (2, m, 5) and (3, 11, 6) are collinear, then the value of m is
34) The moment about the point M (-2, 4, -6 ) of the force represented in magnitude and position AB, where the points A and B have the coordinators (1, 2, -3) and ( 3, -4, 2 ) respectively is
42) A tetrahedron has vertical at
O (0, 0), A ( 1, 2, 1), B (2, 1, 3) and
C ( -1, 1, 2). Then, the angle between the faces OAB and ABC will be
65) The volume of the tetrahedron formed by the points (1, 1, 1), (2, 1, 3), (3, 2, 2) and (3, 3, 4) in cubic units is: